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A186498 Adjusted joint rank sequence of (f(i)) and (g(j)) with f(i) before g(j) when f(i)=g(j), where f(i)=3i-2 and g(j)=j-th triangular number.  Complement of A186497. 2
2, 3, 5, 8, 10, 13, 17, 20, 24, 29, 33, 38, 44, 49, 55, 62, 68, 75, 83, 90, 98, 107, 115, 124, 134, 143, 153, 164, 174, 185, 197, 208, 220, 233, 245, 258, 272, 285, 299, 314, 328, 343, 359, 374, 390, 407, 423, 440, 458, 475, 493, 512, 530, 549, 569, 588, 608, 629, 649, 670, 692, 713, 735, 758, 780, 803, 827, 850, 874, 899, 923, 948, 974, 999, 1025, 1052, 1078, 1105, 1133, 1160, 1188, 1217, 1245, 1274, 1304 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..85.

EXAMPLE

First, write

1..4..7.10..13..16..19..22..25..28..31. (3i-2),

1.3..6..10....15.......21.......28.....(j(j+1)/2).

Then replace each number by its rank, where ties are settled by ranking 3i-2 before j(j+1)/2:

a=(1,4,6,7,9,11,12,14,15,16,18,...)=A186497,

b=(2,3,5,8,10,13,17,20,24,29,33,..)=A186498.

MATHEMATICA

(See A186497.)

CROSSREFS

Cf. A186350, A186497, A186499, A186500.

Sequence in context: A098389 A215260 A004977 * A226330 A226329 A094568

Adjacent sequences:  A186495 A186496 A186497 * A186499 A186500 A186501

KEYWORD

nonn

AUTHOR

Clark Kimberling, Feb 22 2011

STATUS

approved

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Last modified June 25 00:41 EDT 2017. Contains 288708 sequences.